GCSE (9-1) Mathematics Component 3 Grades 1-4 Practice Materials (Set 2)

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GCSE (9-1) Mathematics Component 3 Grades 1-4 Practice Materials (Set 2) Qualification Accredited www.ocr.org.uk/maths GCSE (9-1) MATHEMATICS Practice Materials Grades 1-4 Practice Material... s Set 2, Component 3 Version 1 J560 For first teaching in 2015GCSE (9-1) Mathematics Grades 1-4 Practice Materials © OCR 2020 Introduction These practice materials can be used to support foundation students who are targeting grades 1-4. They are comprised of questions taken from previous series. Mark schemes are included and can be found towards the back of each set of materials. Please remember to omit the mark schemes when distributing the question pages to your students. To see additional GCSE (9-1) resources, please visit: https://www.ocr.org.uk/qualifications/gcse/mathematicsj560-from-2015/planning-and-teaching/ Would you prefer a Word version? Did you know that you can save this pdf as a Word file using Acrobat Professional? Simply click on File > Export to and select Microsoft Word (If you have opened this PDF in your browser you will need to save it first. Simply right click anywhere on the page and select Save as . . . to save the PDF. Then open the PDF in Acrobat Professional.) If you do not have access to Acrobat Professional there are a number of free applications available that will also convert PDF to Word (search for pdf to word converter).Grades 1-4 Practice Materials 1 GCSE (9-1) Mathematics © OCR 2020 GCSE (9-1) Mathematics Component 3 Grades 1-4 Practice Materials (Set 2) Time allowed: 45 minutes Name 50.Grades 1-4 Practice Materials 2 GCSE (9-1) Mathematics © OCR 2020 (a) (b) (c) (a) (b) (c) 2 Write down.Grades 1-4 Practice Materials 3 GCSE (9-1) Mathematics © OCR 2020 3 4 5Grades 1-4 Practice Materials 4 GCSE (9-1) Mathematics © OCR 2020 6Grades 1-4 Practice Materials 5 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 6 GCSE (9-1) Mathematics © OCR 2020 £ £Grades 1-4 Practice Materials 7 GCSE (9-1) Mathematics © OCR 2020 LE BPGrades 1-4 Practice Materials 8 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 9 GCSE (9-1) Mathematics © OCR 2020 11Grades 1-4 Practice Materials 10 GCSE (9-1) Mathematics © OCR 2020 12 (b)Grades 1-4 Practice Materials 11 GCSE (9-1) Mathematics © OCR 2020 13GCSE (9-1) Mathematics Grades 1-4 Practice Materials 12 © OCR 2020 Component 3 – Mark scheme Types of marks: • M marks are for using a correct method and are not lost for purely numerical errors. • A marks are for an accurate answer and depend on preceding M (method) marks. Therefore M0 A1 cannot be awarded. • B marks are independent of M (method) marks and are for a correct final answer, a partially correct answer, or a correct intermediate stage. • SC marks are for special cases that are worthy of some credit. The following abbreviations are commonly found in GCSE Mathematics mark schemes. • cao means correct answer only. • figs 237, for example, means any answer with only these digits. You should ignore leading or trailing zeros and any decimal point e.g. 237000, 2.37, 2.370, 0.00237 would be acceptable but 23070 or 2374 would not. • isw means ignore subsequent working (after correct answer obtained). • nfww means not from wrong working. • oe means or equivalent. • rot means rounded or truncated. • seen means that you should award the mark if that number/expression is seen anywhere in the answer space, including the answer line, even if it is not in the method leading to the final answer. • soi means seen or implied.GCSE (9-1) Mathematics Grades 1-4 Practice Materials 13 © OCR 2020 Question Answer Marks Part marks and guidance 1 (a) Isosceles 1 Condone poor spelling Accept any clear indication e.g. ringed in list (b) 8 1 Accept in words 2 (a) 3100 1 (b) 0.03 1 (c) 3 1 Accept +3 3 30 1 4 (a) [0].375 1 (b) 21 final answer 50 2 B1 for 42 or equivalent fraction seen Condone 42 and 21 on answer line in this order 5 25 2 M1 for 1 + 4 soi by 5 6 (a) Unlikely cao 1 (b) A, B, B 2 M1 for 2 or 2 out of 5 or 3 or 3 out of 5 5 5 Accept in any order but must be one letter only per line in diagram 7 (a) Hollow circle at 3 only Line/arrow “pointing” right from 3 1 1 Marks independent No other blobs Open line or arrow only and condone mark/ blob over 8 or x If line, must reach approx. 8 Condone line/arrow starting closer to 3 than 4 (b) 11a – 2c final answer 2 B1 for 11a or – 2c seen Accept in any order 11a + – 2c scores 1 mark 8 (a) 50 2 M1 for 18 × 2 soi 36 (b) 9.3[0] 4 B3 for answer 59.3 only Or B1 for 3.6 or 7.2 or 21.6 or 43.2 B1 for 2.1 or 16.1 M1 for 2 × their adult cost + their child cost No FT from their (a) If total cost and increase given, ignore total and mark only increase May be increase or total 9 (a) [LE BP] LE TL LE BM BP TL BP BM TL BM 2 B1 for 5 of their entries correct and no more than one extra or repeat or 4 correct only Places may be reversed such as TL BP within 6 combinations 100 100 50GCSE (9-1) Mathematics Grades 1-4 Practice Materials 14 © OCR 2020 Question Answer Marks Part marks and guidance (b) their LE their total 1 FT Strict FT from their table with a minimum of three additional entries Accept decimal and percentage equivalents only isw attempts to cancel or convert form Total (number of rows) must include given row 10 (a) Two correct shapes each with correct name 4 B1 for each shape B1 dep on drawing seen for each correct name Condone omission of diagonal Mark clear intention Kite or rectangle must be joined along longest side Parallelogram must be joined along a shorter side Allow as additions to the given triangles (b) 30 30 120 60 60 60 2 B1 for one set If answer line blank, may be seen on diagram 11 20 4 M2 for 500 × 100+25 oe soi 625 Or M1 for 500 × 25 oe soi 125 AND M1 for ([1 ×] 500 ) [× 100] oe soi [0].8 or 80 or [0].2 or 20 625 – 500 = 125 followed by 125 [×100] scores M2 AND M1 12 (a) (i) 6a + 10b or 2(3a + 5b) final answer 2 M1 for 6(a + b) + 2 × 2b oe If 0 scored SC1 for 3a + 5b as final answer M1 for e.g. a + b + a + b + a + b + a + b + a + b + a + b + 2b + 2b or 2 × (3a + 3b + 2b) etc (ii) 6b(a + b) final answer 2 B1 for 6(ab + b2) or b(6a + 6b) or 3(2ab + 2b2) or 3b(2a + 2b) or 2(3ab + 3b2) or 2b(3a + 3b) 100 100 their 625 625GCSE (9-1) Mathematics Grades 1-4 Practice Materials 15 © OCR 2020 Question Answer Marks Part marks and guidance (b) 4 by 1 rectangle with 4a + 4b and 2b or 2 by 2 rectangle with 2a + 2b and 4b or 1 by 4 rectangle with a + b and 8b stated or marked on rectangle 5 B4 for 4a + 4b and 2b or 2a + 2b and 4b or a + b and 8b Or B3 for rectangle drawn as (4 by 1) or (2 by 2) or (1 by 4) Or B2 for one of 2a + 2b or 4a + 4b or 4b or 8b Or B1 for any rectangle of 3 or more tiles drawn with a + b or 2b marked on individual tiles Accept unsimplified throughout Once correct expression(s) seen, ignore incorrect simplification to answer line In answer space or intended as final length and width Must clearly be answer May be in attempt to factorise e.g. 4b(2a + b) Accept unsimplified e.g. a + b + a + b Only tiles that form the perimeter needed 13 (a) Points plotted at (21, 18) and (7, 8) 1 Tolerance ±1 mm (b) 1 : 3 3 B2 for 3 : 9 oe or answer 3 : 1 Or B1 for 3 [dancers] or 9 [dancers] identified If 0 scored then SC1 for 4 : 8 seen and simplified to 1 : 2 NOT from 4 : 12 May be on graph 4 : 12 simplified to 1 : 3 scores 0OCR Resources: the small print OCR’s resources are provided to support the delivery of OCR qualifications, but in no way constitute an endorsed teaching method that is required by OCR. 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